Statistics Homework Solutions 155

Statistics Homework Solutions 155 - 155 SECTION 6.10 1000....

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Unformatted text preview: 155 SECTION 6.10 1000. The expected values are np 1 , np2 and np3 , or 900, 50, and 50. ¡ (b) The total number of observation is n (c) The observed values are 860, 60, and 80. 50 80 50 2 50 21 7778. ¡ ¤ ¢ 2 degrees of freedom. From the χ2 table, P 0 005. A computer package gives ¨ 2 £¥ 50 ¢ 60 ¤ ¡ £¥ ¡ ¤ ¡ (d) There are 3 1 P 1 9 10 5. 900 ¡ 2 £¥ 900 ¡ 860 ¨ χ2 ¡ ¡ ¨ ¡ The true percentages differ from 90%, 5%, and 5%. 99, O 3 ¡ ¡ ¡ ¡ ¡ 31, O 4 11, ¡ O , as shown in the following table. £ j ¡ Oi O The expected values are Ei j 181, O 2 The row totals are O1 173 and O2 210. The column totals are O 1 O 5 61. The grand total is O 383. ¡ 3. ¡ Net Excess Capacity 0 – 10% 44.7180 54.2820 Ei j 0 05. A computer package gives P 0 012. ¡ ¨ ¡ P 12 945. ¨ £¥ Ei j ¡ ¤ ¡ ¤ ¡ 01 30% 27.5535 33.4465 4 degrees of freedom. 2 ¡ 1 ∑ 2 1 ∑ 5 1 Oi j i j From the χ2 table, 0 21 – 30% 4.9687 6.0313 ¨ 15 ¡ χ2 ¤¥ There are 2 ¡ §¥ ¡ Small Large 11 – 20% 14.0026 16.9974 ¡ 0% 81.7572 99.2428 ¨ ¡ It is reasonable to conclude that the distributions differ. 240. ¡ 5 20.000 19.024 200.98 § 0 05. A computer package gives P ¡ ¨ ¡ £¥ P 10 829. ¡ Ei j ¨ 2 0 0286. ¨ ¡ ¡ ¡ 4 degrees of freedom. ¡ ¡ §¥ ¡ Ei j ¡ ¤¥ ¤ ¡ 025 163, O 3 1 89, O 2 O , as shown in the following table. £ ¡ 13 ¨ ¡ ¤ ∑ 3 1 ∑ 3 1 Oi j j i From the χ2 table, 0 χ2 ¡ There are 3 1 to 5 13.583 12.921 136.50 j ¡ 1 7.4167 7.0549 74.528 Diseased Sensitized Normal Oi O 412. The column totals are O 1 The expected values are Ei j 39, and O3 ¡ 41, O2 492. The row totals are O1 The grand total is O ¡ 5. ¡ There is some evidence that the proportions of workers in the various disease categories differ among exposure levels. 27, O 2 ¡ ¡ 35. The column totals are O 1 35, O 3 ¡ 25, and O3 ¡ ¡ 7. (a) The row totals are O1 37, O2 grand total is O 97. 35. The ¡ ¡ ...
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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